Question

Cálculo da raiz de 900

Answer 1

Vamos fatorar:
900 l 2
450 l 5
  90 l 2
  45 l 5
    9 l 3
    3 l 3
    1 l

2.5.2.5.3.3 = $\sqrt{2^{2}.5^{2}.3 ^{2} }$ = √2².√5².√3² = 2.5.3 = 30

Answer 2

$\large\boxed{\begin{array}{l} \begin{array}{r|l}\sf900&\sf2\\\sf450&\sf2\\\sf225&\sf3\\\sf75&\sf3\\\sf25&\sf5\\\sf5&\sf5\\\sf1\end{array}\\\sf\sqrt{900}=\sqrt{2^{2}\cdot3^{2}\cdot5^{2}}\\\sf\sqrt{900}=2\cdot3\cdot5\\\sf\sqrt{900}=30\end{array}}$